Geodesic
Theory of Yang--Mills fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 24 (1975) no. 3, pp. 347-356

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Explicit geometrical description of gauge transformations and Yang–Mills fields in terms of connections in principal and associated vector fibre bundles is given. Using invariant operators on principal bundle, the equation for the connection is formulated which after the projection on the base space leads to usual equations of the Yang–Mills field corresponding to the quadratic Lagrangian. 
@article{TMF_1975_24_3_a5,
     author = {D. A. Popov},
     title = {Theory of {Yang--Mills} fields},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {347--356},
     publisher = {mathdoc},
     volume = {24},
     number = {3},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_24_3_a5/}
}
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D. A. Popov. Theory of Yang--Mills fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 24 (1975) no. 3, pp. 347-356. http://geodesic.mathdoc.fr/item/TMF_1975_24_3_a5/